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Finding the Fourth Proportional to 1,373.39, 1,895.39 and 784.10

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Solution

The fourth proportional to 1,373.39, 1,895.39 and 784.10 is: 1,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.39 : 1,895.39 = 784.10 : x
  2. Step 2: Convert to fraction form
    1,373.39/1,895.39 = 784.10/x
  3. Step 3: Cross multiply
    1,373.39x = 1,895.39 × 784.10
  4. Step 4: Simplify right side
    1,373.39x = 1,486,175.30
  5. Step 5: Solve for x
    x = 1,486,175.30/1,373.39
  6. Step 6: Final answer
    x = 1,082.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.